Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Check vertical angles

$\angle HGJ$ and $\angle MGK$ are vertical angles. So, $\angle HGJ=\angle MGK$.

Step2: Analyze side - angle - side (SAS) congruence

We know that $HJ = MK$ (marked), $GJ=GK$ (marked), and $\angle HGJ=\angle MGK$. By the Side - Angle - Side (SAS) congruence criterion, $\triangle HJG\cong\triangle MKG$.

Answer:

yes